Answer:
3/5
Step-by-step explanation
Ratio =second term divided inti first term a2/a1
a1=5/12 a2=1/4
1/4: 5/12 is the same as 1/4*12/5 =12/20 = 3/5
5/12*3/5 = 15/60 = 1/4
1/4* 3/5 =3/20
3/20*3/5 =9/100
9/100 *3/5 = 27/500..........
Answer:
Yes. For example, a hotel advertises, “Buy 4 nights, get the 5th night free.” Taking advantage of the deal, a customer purchases 5 nights for $400. Each night of the customer’s 5-night stay is subject to the fee.
Step-by-step explanation:
Answer: 0.8238
Step-by-step explanation:
Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with
and
.
Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.
Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-
![P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]](https://tex.z-dn.net/?f=P%28x%3E92%29%3D1-P%28x%5Cleq92%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B92-106%7D%7B15%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq%20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq-0.93%29%3D1-%281-P%28z%5Cleq0.93%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%5Cleq%20-z%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3DP%28z%5Cleq0.93%29%3D0.8238%5C%20%5C%20%5B%5Ctext%7BBy%20using%20z-value%20table.%7D%5D)
Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238
Answer:
D)
Step-by-step explanation:
Answer is D)
Range lies in between -2 and 3
=> -2 <= y <= 3
(-2 less than or equal to y, less than or equal to 3)
She has to put on 5 undershirt to stay 75 minutes